The PSP is complete shit. I own both a PSP and DS. The only thing the PSP is good for is emulation of classic games, most of which I can emulate on my DS anyways. PSP games are the worst games I've ever played. The only decent PSP games are ports of other games, and even then the controls and graphics are crap. UMDs are also a terrible idea. Whoever thought to put loading times on a handheld should be dragged into a dark alley and shot. I use my PSP only for listening to my chip tunes and the occasional PS1 game.
The DS rocks. With a Slot1 and an EZFlash 3in1 plus the price of some microSD cards I get every DS game, every GBA game, movies, music, homebrew and a lot of classic games for a lot cheaper than just the base price of a PSP (no games, no memory sticks) and my battery lasts more than twice as long. Also, I don't have to deal with Sony's anti-piracy firmwares being released every time there's a new exploit. So far, the DS already has price and battery life. The media aspects are the exact same, so those points are void.
Now, the important part about a GAMING handheld, the GAMES. PSP original games are some of the worse games I've played. I'd rather be playing E.T. There are some good ports for PSP, some of my favorites are Gitaroo Man Lives, DJMax Portable, and Powerstone Collection. These games can be played on a real console for the same price and they will look MUCH better and the controls won't make you want to stop playing. PSP tries to emulate the console experience and phails, miserably. The DS is something new. There is no console that can deliver the DS experience (the Wii is close, but not the same at all). The games are refreshing and fun. These games keep me coming back to them. Some of my favorites are Trauma Center, Phoenix Wright, Mario Kart DS, Picross, and Castlevania
ortrait of Ruin.
For downloading your games, PSP games range from 256MB to 1.8GB. That is way too huge. I've needed to buy about $150 worth of memory sticks just to fit 2 PSP games and my classic games. On top of the intense size of the games, the media is way too overpriced, just like all the other shit Sony churns out. DS games are only 16MB to 256MB and the media is very cheap (less than $20/GB). It is also much easier to get homebrew and backups on your DS. Sony can't code a decent firmware, so they keep getting hacked, so they keep making crappy, sloppy firmware. The DS just needs one small piece of hardware to get everything going.
And finally, pure style. When the PSP came out, it was a lot nicer looking than the bulky DS Phat. The PSP felt more solid and with its glossy black faceplate and uber bright screen, pwnt the DS in looks. The screen is, IMHO, far too large. All movies and pictures look stretched out and it just looks all around goofy. With the release of the DS Lite, all that changed. The new solid feeling of the DS Lite made the PSP feel like a child's play thing. The new levels of brightness kicked everything up a notch with the same brightness levels as the PSP. The gorgeous glossy finish and the later releases of newer colors put the PSP in its place. The weight was finally where it should have been in the first place, in the gamers hands. Now, I can play for hours without having to worry about needing to ice my hand. The PSP still feels like crap and the PSP Slim has done nothing to rectify that.
To sum up:
Battery Life
S
Price
S
Ease of Use
S
Graphics
SP
Controls
S
Style
S
Media:Tie
Emulation
SP
Commercial Games
S
Ported Games
S
So, how is the PSP better than the DS other than emulation and graphics? If you're buying a console just for the graphics anyways then your opinion is pretty much void in this argument since it is completely biased on something so very pointless.
BTW, DS emulation on PSP is impossible. Plain and simple. The DS has two processors, an ARM7 and an ARM9. The PSP can hardly emulate the single 64-bit processor the N64. On top of that, there is no touch screen, the controls are not set up to use one if you turn it sideways, and the screen is too wide to play it just the regular way.